4. Use the quotient rule to find the derivative with respect to the independent variable.
$f(x) = \frac{3 - x^3}{2 + 5x}$
5. Differentiate the function with respect to the independent variable. The derivative should be
simplified and written in a similar format as the original function.
$f(x) = \sqrt{x}(x^3 - x^2)$
6. Find the tangent line, in slope-intercept form, of $y = f(x)$ at the specified point.
$f(x) = \frac{-3}{x} + \frac{5}{\sqrt{x^2 - 1}}$, at $x = 1$
7. Suppose that $f(5) = -4$ and $f'(5) = 6$. Let $y = \frac{1}{f(x)}$, find $dy/dx$ when $x = 5$.